Orders of Operations

The order of operations is a set of rules that determines the sequence in which calculations are performed. The acronym PEMDAS is commonly used to remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

You should first perform the operations inside the parentheses before applying any other operations.

The result of 6 ÷ 2 is 3.

The result is 10, calculated as 7 + (6 ÷ 2) = 7 + 3.

You calculate the exponent first before performing any other operations.

4³ is equal to 64, as it means 4 multiplied by itself three times (4 x 4 x 4).

The first step is to evaluate the expression inside the innermost parentheses: (8 - 1) = 7.

The result of 15 - 7 is 8.

The next step is to evaluate the expression inside the brackets: 15 - 7 = 8.